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Finding the Fourth Proportional to 202,694.40, 302,557.21 and 178,753.44

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Solution

The fourth proportional to 202,694.40, 302,557.21 and 178,753.44 is: 266,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,694.40 : 302,557.21 = 178,753.44 : x
  2. Step 2: Convert to fraction form
    202,694.40/302,557.21 = 178,753.44/x
  3. Step 3: Cross multiply
    202,694.40x = 302,557.21 × 178,753.44
  4. Step 4: Simplify right side
    202,694.40x = 54,083,142,084.30
  5. Step 5: Solve for x
    x = 54,083,142,084.30/202,694.40
  6. Step 6: Final answer
    x = 266,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.